105172704 has 144 divisors (see below), whose sum is σ = 368196192. Its totient is φ = 27730944.

The previous prime is 105172687. The next prime is 105172709. The reversal of 105172704 is 407271501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105172704² = 22122595333343232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105172709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24202 + ... + 28214.

It is an arithmetic number, because the mean of its divisors is an integer number (2556918).

Almost surely, 2^105172704 is an apocalyptic number.

105172704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105172704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184098096).

105172704 is an abundant number, since it is smaller than the sum of its proper divisors (263023488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105172704 is a wasteful number, since it uses less digits than its factorization.

105172704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 105172704 is about 10255.3743958960. The cubic root of 105172704 is about 472.0279117842.

The spelling of 105172704 in words is "one hundred five million, one hundred seventy-two thousand, seven hundred four".